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Finding the Fourth Proportional to 334,004.40, 501,006.60 and 200,816.10

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Solution

The fourth proportional to 334,004.40, 501,006.60 and 200,816.10 is: 301,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,004.40 : 501,006.60 = 200,816.10 : x
  2. Step 2: Convert to fraction form
    334,004.40/501,006.60 = 200,816.10/x
  3. Step 3: Cross multiply
    334,004.40x = 501,006.60 × 200,816.10
  4. Step 4: Simplify right side
    334,004.40x = 100,610,191,486.26
  5. Step 5: Solve for x
    x = 100,610,191,486.26/334,004.40
  6. Step 6: Final answer
    x = 301,224.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.